In a group activity class, there are 10 students whose ages are 16, 17, 15, 14, 19, 17, 16, 19, 16 and 15 years. One student is selected at random such that each has equal chance of being chosen and age of the student is recorded. On the basis of the above information, answer the following questions :

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CASE_STUDIESProbability Distribution of a Random VariableMean (Expectation) of a Random VariableCBSE PYQ3 sub-questions

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A pair of dice is thrown simultaneously. If X denotes the absolute difference of the numbers appearing on top of the dice, then find the probability distribution of X.

TextRandom Variable and Its DefinitionProbability Distribution of a Random Variable

Self-study helps students to build confidence in learning. It boosts the self-esteem of the learners. Recent surveys suggested that close to 50% learners were self-taught using internet resources and upskilled themselves. A student may spend 1 hour to 6 hours in a day in upskilling self. The probability distribution of the number of hours spent by a student is given below : P(X = x) = {kx², for x = 1, 2, 3; 2kx, for x = 4, 5, 6; 0, otherwise} where x denotes the number of hours. Based on the above information, answer the following questions :

CASE_STUDIESProbability Distribution of a Random VariableMean (Expectation) of a Random Variable